On the public citation graph

A generalised rayleigh quotient iteration for lambda-matrices

0 signed · 53 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00276157openalex-snapshot
Inversion of lambda-matrices and application to the theory of linear vibrations
inferredcites →https://doi.org/10.1007/bf00298007openalex-snapshot
On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. I
inferredcites →https://doi.org/10.1007/bf01600614openalex-snapshot
Über näherungsweise Auflösung von Systemen homogener linearer Gleichungen
inferredcites →https://doi.org/10.1093/qjmam/13.2.137openalex-snapshot
FREE VIBRATIONS OF LIGHTLY DAMPED SYSTEMS BY PERTURBATION METHODS
inferredcites →https://doi.org/10.1098/rspa.1951.0129openalex-snapshot
Iterative procedures related to relaxation methods for eigenvalue problems
inferredcites →https://doi.org/10.1098/rspa.1952.0034openalex-snapshot
The accuracy of Rayleigh’s method of calculating the natural frequencies of vibrating systems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/nla.2422openalex-snapshot
Two‐sided Rayleigh quotient iteration for periodic eigenvalue problems
inferred← citeshttps://doi.org/10.1002/nla.2563openalex-snapshot
A rational‐Chebyshev projection method for nonlinear eigenvalue problems
inferred← citeshttps://doi.org/10.1007/1-4020-2604-8_54openalex-snapshot
Inverse Iteration for Nonlinear Eigenvalue Problems in Electromagnetic Scattering
inferred← citeshttps://doi.org/10.1007/978-3-0348-5579-2_2openalex-snapshot
A Review of Numerical Methods for Eigenvalue Problems Nonlinear in the Parameter
inferred← citeshttps://doi.org/10.1007/978-3-0348-8181-4_2openalex-snapshot
List of Publications of Peter Lancaster
inferred← citeshttps://doi.org/10.1007/978-3-0348-9144-8_9openalex-snapshot
Variational Properties and Rayleigh Quotient Algorithms for Symmetric Matrix Pencils
inferred← citeshttps://doi.org/10.1007/978-3-642-10994-2_2openalex-snapshot
Il Metodo Del Quoziente Di Rayleigh
inferred← citeshttps://doi.org/10.1007/978-3-642-30316-6_10openalex-snapshot
Convergence Orders of Iterative Methods for Nonlinear Eigenvalue Problems
inferred← citeshttps://doi.org/10.1007/bf00778426openalex-snapshot
Reduktion und Iteration zur Eigenwertberechnung diskret ged�mpfter Schwingungssysteme
inferred← citeshttps://doi.org/10.1007/bf01086544openalex-snapshot
Computational methods of linear algebra
inferred← citeshttps://doi.org/10.1007/bf01183953openalex-snapshot
On a Chebychev matrix operator method for ordinary linear differential equations with non-constant coefficients
inferred← citeshttps://doi.org/10.1007/bf01386088openalex-snapshot
Algorithms for lambda-matrices
inferred← citeshttps://doi.org/10.1007/bf02238095openalex-snapshot
On the numerical solution of nonlinear eigenvalue problems
inferred← citeshttps://doi.org/10.1007/s11075-009-9286-zopenalex-snapshot
Rayleigh quotient algorithms for nonsymmetric matrix pencils
inferred← citeshttps://doi.org/10.1016/0022-1236(73)90007-4openalex-snapshot
Operator equations and nonlinear eigenparameter problems
inferred← citeshttps://doi.org/10.1016/b978-0-08-011664-8.50015-8openalex-snapshot
REFERENCES
inferred← citeshttps://doi.org/10.1016/j.combustflame.2019.11.006openalex-snapshot
Intrinsic thermoacoustic modes in an annular combustion chamber
inferred← citeshttps://doi.org/10.1016/j.jcp.2004.09.016openalex-snapshot
Photonic band structure calculations using nonlinear eigenvalue techniques
inferred← citeshttps://doi.org/10.1016/j.jcp.2018.08.017openalex-snapshot
Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation
inferred← citeshttps://doi.org/10.1016/j.jsv.2020.115200openalex-snapshot
Perturbation theory of nonlinear, non-self-adjoint eigenvalue problems: Simple eigenvalues
inferred← citeshttps://doi.org/10.1016/j.laa.2010.06.048openalex-snapshot
Nonlinear Rayleigh functionals
inferred← citeshttps://doi.org/10.1016/j.laa.2010.08.045openalex-snapshot
Convergence factors of Newton methods for nonlinear eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.physd.2024.134319openalex-snapshot
An eigenvalue problem for self-similar patterns in Hele-Shaw flows
inferred← citeshttps://doi.org/10.1016/j.tcs.2007.04.019openalex-snapshot
Block L U factors of generalized companion matrix pencils
inferred← citeshttps://doi.org/10.1016/s0024-3795(01)00494-3openalex-snapshot
Two-sided and alternating Jacobi–Davidson
inferred← citeshttps://doi.org/10.1017/s0001924000031419openalex-snapshot
Techical Notes
inferred← citeshttps://doi.org/10.1017/s0004972700028732openalex-snapshot
Variational and numerical methods for symmetric matrix pencils
inferred← citeshttps://doi.org/10.1017/s0962492917000034openalex-snapshot
The nonlinear eigenvalue problem
inferred← citeshttps://doi.org/10.1080/00207160.2010.498509openalex-snapshot
The equivalence of the constrained Rayleigh quotient and Newton methods for matrix polynomials expressed in different polynomial bases along with the confluent case
inferred← citeshttps://doi.org/10.1090/s0025-5718-1974-0405823-3openalex-snapshot
The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices
inferred← citeshttps://doi.org/10.1109/cdc.1989.70679openalex-snapshot
Computations of eigenfunctions and eigenfrequencies of two dimensional vibrating structures by the boundary element method
inferred← citeshttps://doi.org/10.1109/cdc45484.2021.9683784openalex-snapshot
Stochastic Stability via Robustness of Linear Systems
inferred← citeshttps://doi.org/10.1109/tsp.2021.3079808openalex-snapshot
Distributed Adaptive Trace Ratio Optimization in Wireless Sensor Networks
inferred← citeshttps://doi.org/10.1115/1.4041007openalex-snapshot
Effects of Asymmetry on Thermoacoustic Modes in Annular Combustors: A Higher-Order Perturbation Study
inferred← citeshttps://doi.org/10.1115/1.4049295openalex-snapshot
Adjoint-Based Calculation of Parametric Thermoacoustic Maps of an Industrial Combustion Chamber
inferred← citeshttps://doi.org/10.1115/gt2020-14699openalex-snapshot
Adjoint-Based Calculation of Parametric Thermoacoustic Maps of an Industrial Combustion Chamber
inferred← citeshttps://doi.org/10.1137/100807922openalex-snapshot
Efficient Preconditioned Inner Solves For Inexact Rayleigh Quotient Iteration And Their Connections To The Single-Vector Jacobi–Davidson Method
inferred← citeshttps://doi.org/10.1137/s0895479803423378openalex-snapshot
A Subspace Approximation Method for the Quadratic Eigenvalue Problem
inferred← citeshttps://doi.org/10.1142/s0217751x19420375openalex-snapshot
Computation of lossy higher order modes in complex SRF cavities using Beyn’s and Newton’s methods on reduced order models
inferred← citeshttps://doi.org/10.1184/r1/6607994openalex-snapshot
On the matrix polynomial, lambda-matrix and block eigenvalue problems
inferred← citeshttps://doi.org/10.1201/b16113-70openalex-snapshot
Nonlinear Eigenvalue Problems
inferred← citeshttps://doi.org/10.14279/depositonce-1871openalex-snapshot
Nonlinear Eigenvalue Problems: Newton-type Methods and Nonlinear Rayleigh Functionals
inferred← citeshttps://doi.org/10.1553/etna_vol55s1openalex-snapshot
A survey on variational characterizations for nonlinear eigenvalue problems
inferred← citeshttps://doi.org/10.2307/3613024openalex-snapshot
Convergence of the Newton-Raphson Method For Arbitary Polynomials
inferred← citeshttps://doi.org/10.3390/math13132101openalex-snapshot
A Novel Recursive Algorithm for Inverting Matrix Polynomials via a Generalized Leverrier–Faddeev Scheme: Application to FEM Modeling of Wing Vibrations in a 4th-Generation Fighter Aircraft
inferred← citeshttps://doi.org/10.4208/jcm.1004-m0009openalex-snapshot
On Smooth LU Decompositions with Applications to Solutions of Nonlinear Eigenvalue Problems
inferred← citeshttps://doi.org/10.48550/arxiv.1901.01188openalex-snapshot
A rational approximation method for the nonlinear eigenvalue problem
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.